A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter
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[1] J. Hesthaven,et al. Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications , 2007 .
[2] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[3] Wai-Sun Don,et al. An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws , 2008, J. Comput. Phys..
[4] Feng Xiao,et al. High order multi-moment constrained finite volume method. Part I: Basic formulation , 2009, J. Comput. Phys..
[5] Feng Xiao,et al. CIP/multi-moment finite volume method for Euler equations: A semi-Lagrangian characteristic formulation , 2007, J. Comput. Phys..
[6] Feng Xiao,et al. Global shallow water models based on multi-moment constrained finite volume method and three quasi-uniform spherical grids , 2014, J. Comput. Phys..
[7] T. Yabe,et al. The constrained interpolation profile method for multiphase analysis , 2001 .
[8] Feng Xiao,et al. A note on the general multi-moment constrained flux reconstruction formulation for high order schemes , 2012 .
[9] Feng Xiao,et al. Constructing a multi-dimensional oscillation preventing scheme for the advection equation by a rational function , 1996 .
[10] T. Yabe,et al. Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation , 2001 .
[11] Feng Xiao,et al. A Multimoment Constrained Finite-Volume Model for Nonhydrostatic Atmospheric Dynamics , 2013 .
[12] Zhi J. Wang,et al. High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations , 2006 .
[13] Chi-Wang Shu,et al. Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters , 2005, SIAM J. Sci. Comput..
[14] Feng Xiao,et al. Shallow water model on cubed-sphere by multi-moment finite volume method , 2008, J. Comput. Phys..
[15] Steven J. Ruuth,et al. A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods , 2002, SIAM J. Numer. Anal..
[16] A. Patera. A spectral element method for fluid dynamics: Laminar flow in a channel expansion , 1984 .
[17] Zhi J. Wang,et al. Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation , 2002 .
[18] Feng Xiao,et al. A multi-moment finite volume method for incompressible Navier-Stokes equations on unstructured grids: Volume-average/point-value formulation , 2014, J. Comput. Phys..
[19] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems , 1989 .
[20] Z. Wang,et al. Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids , 2002 .
[21] Feng Xiao,et al. Constructing oscillation preventing scheme for advection equation by rational function , 1996 .
[22] Chi-Wang Shu,et al. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case , 1990 .
[23] J. M. Powers,et al. Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points , 2005 .
[24] Takashi Yabe,et al. A universal solver for hyperbolic equations by cubic-polynomial interpolation I. One-dimensional solver , 1991 .
[25] Chaowei Hu,et al. No . 98-32 Weighted Essentially Non-Oscillatory Schemes on Triangular Meshes , 1998 .
[26] Feng Xiao,et al. Two and three dimensional multi-moment finite volume solver for incompressible Navier–Stokes equations on unstructured grids with arbitrary quadrilateral and hexahedral elements , 2014 .
[27] Jianxian Qiu,et al. Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case , 2004 .
[28] Neil D. Sandham,et al. Low-Dissipative High-Order Shock-Capturing Methods Using Characteristic-Based Filters , 1999 .
[29] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework , 1989 .
[30] R. LeVeque. Approximate Riemann Solvers , 1992 .
[31] Eleuterio F. Toro,et al. ADER: Arbitrary High Order Godunov Approach , 2002, J. Sci. Comput..
[32] John H. Kolias,et al. A CONSERVATIVE STAGGERED-GRID CHEBYSHEV MULTIDOMAIN METHOD FOR COMPRESSIBLE FLOWS , 1995 .
[33] G. Sod. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws , 1978 .
[34] P. Woodward,et al. The numerical simulation of two-dimensional fluid flow with strong shocks , 1984 .
[35] Zhi Jian Wang,et al. A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids , 2009, J. Comput. Phys..
[36] Chi-Wang Shu,et al. High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems , 2009, SIAM Rev..
[37] Eleuterio F. Toro,et al. Derivative Riemann solvers for systems of conservation laws and ADER methods , 2006, J. Comput. Phys..
[38] Chi-Wang Shu,et al. A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods , 2013, J. Comput. Phys..
[39] H. T. Huynh,et al. A Flux Reconstruction Approach to High-Order Schemes Including Discontinuous Galerkin Methods , 2007 .
[40] T. Yabe,et al. Conservative and oscillation-less atmospheric transport schemes based on rational functions , 2002 .
[41] Gecheng Zha,et al. Improvement of weighted essentially non-oscillatory schemes near discontinuities , 2009 .
[42] Feng Xiao,et al. Fifth Order Multi-moment WENO Schemes for Hyperbolic Conservation Laws , 2015, J. Sci. Comput..
[43] S. Osher,et al. Weighted essentially non-oscillatory schemes , 1994 .
[44] Mengping Zhang,et al. A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework , 2015 .
[45] E. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .
[46] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[47] Chi-Wang Shu,et al. Efficient Implementation of Weighted ENO Schemes , 1995 .